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Parallelogram Proofs

Parallelogram Proofs
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2015-11-13 10:14
PolygonAngleGeometric Construction
This example demonstrates the proof of a parallelogram. Key mathematical concepts include the properties of parallelograms and geometric proof methods. Using GeoGebra commands such as Line, Intersect, Polygon, Segment, Angle, and Distance, one can construct a parallelogram and perform relevant proofs. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Line(C, a) → b
  3. Line(C, A) → c
  4. Line(B, c) → d
  5. Intersect(b, d) → D
  6. Polygon(C, A, B, D) → poly1, c_1, a_1, b_1, d_1
  7. Segment(A, D) → e
  8. Segment(C, B) → f
  9. Intersect(e, f) → E
  10. Angle(B, A, C) → α
  11. Distance(A, C) → distanceAC
  12. Distance(A, E) → distanceAE